Products of Baire spaces revisited

• Autorzy: László Zsilinszky
• Języki publikacji: EN

Abstrakty

EN

Generalizing a theorem of Oxtoby, it is shown that an arbitrary product of Baire spaces which are almost locally universally Kuratowski-Ulam (in particular, have countable-in-itself π-bases) is a Baire space. Also, partially answering a question of Fleissner, it is proved that a countable box product of almost locally universally Kuratowski-Ulam Baire spaces is a Baire space.

Kategorie tematyczne

• 54E52: Baire category, Baire spaces
• 54B10: Product spaces
• 54D70: Base properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 2
• Strony: 115-121

Daty

wydano

2004

Twórcy

autor

László Zsilinszky

• Department of Mathematics and Computer Science, University of North Carolina at Pembroke, Pembroke, NC 28372, U.S.A.

Identyfikatory

DOI

10.4064/fm183-2-3